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A Note on Parabolic Bundles on Nodal Curves

Algebraic Geometry 2020-12-29 v1

Abstract

Mehta and Seshadri have proved that the set of equivalence classes of irreducible unitary representations of the fundamental group of a punctured compact Riemann surface, can be identified with equivalence classes of stable parabolic bundles of parabolic degree zero on the compact Riemann surface. In this note, we discuss the Mehta-Seshadri correspondence over an irreducible projective curve with at most nodes as singularities.

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Cite

@article{arxiv.2012.13543,
  title  = {A Note on Parabolic Bundles on Nodal Curves},
  author = {C. Arusha and Sanjay Kumar Singh},
  journal= {arXiv preprint arXiv:2012.13543},
  year   = {2020}
}

Comments

15 Pages. Comments are very welcome